Well, i'd say watch the new seasons first from season 1 then go back and dip into a few episodes or one season of each of the original seasons, don't forget to include the episodes where he regenerates, then yeah, watch the Doctor Who movie after that then restart the new seasons and pick up on all the little easter eggs they put iin there
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There are some episodes/sagas that one must watch to fully understand some parts int eh new series. I recommend watching teh new sires. Then for the part with Davros. (You'll know once you get there) watch "Genesis of The Daleks" to completely understand the storyline.